{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7a5799d9",
   "metadata": {},
   "source": [
    "## Exploring S&P 500 ratios data with Nasdaq Data Link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6757562c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import nasdaqdatalink\n",
    "from IPython.display import display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "74dd8f48",
   "metadata": {},
   "outputs": [],
   "source": [
    "nasdaqdatalink.ApiConfig.api_key = \"YOUR_API_KEY\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdc71c54",
   "metadata": {},
   "source": [
    "Fetches S&P 500 dividend yield data and stores it in 'data'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "228dff56",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = nasdaqdatalink.get(\"MULTPL/SP500_DIV_YIELD_MONTH\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4ac1b75a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1871-01-31</th>\n",
       "      <td>5.86</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1871-02-28</th>\n",
       "      <td>5.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1871-03-31</th>\n",
       "      <td>5.64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1871-04-30</th>\n",
       "      <td>5.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1871-05-31</th>\n",
       "      <td>5.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-10-31</th>\n",
       "      <td>1.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-11-01</th>\n",
       "      <td>1.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-11-30</th>\n",
       "      <td>1.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-01</th>\n",
       "      <td>1.51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-31</th>\n",
       "      <td>1.51</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1871 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            Value\n",
       "Date             \n",
       "1871-01-31   5.86\n",
       "1871-02-28   5.78\n",
       "1871-03-31   5.64\n",
       "1871-04-30   5.49\n",
       "1871-05-31   5.35\n",
       "...           ...\n",
       "2023-10-31   1.62\n",
       "2023-11-01   1.62\n",
       "2023-11-30   1.55\n",
       "2023-12-01   1.51\n",
       "2023-12-31   1.51\n",
       "\n",
       "[1871 rows x 1 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ded2afb",
   "metadata": {},
   "source": [
    "Plots the S&P 500 dividend yield data with the specified title"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b1bf2a17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'S&P 500 dividend yield (12 month dividend per share)/price'}, xlabel='Date'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot(title=\"S&P 500 dividend yield (12 month dividend per share)/price\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2727cd8e",
   "metadata": {},
   "source": [
    "**Jason Strimpel** is the founder of <a href='https://pyquantnews.com/'>PyQuant News</a> and co-founder of <a href='https://www.tradeblotter.io/'>Trade Blotter</a>. His career in algorithmic trading spans 20+ years. He previously traded for a Chicago-based hedge fund, was a risk manager at JPMorgan, and managed production risk technology for an energy derivatives trading firm in London. In Singapore, he served as APAC CIO for an agricultural trading firm and built the data science team for a global metals trading firm. Jason holds degrees in Finance and Economics and a Master's in Quantitative Finance from the Illinois Institute of Technology. His career spans America, Europe, and Asia. He shares his expertise through the <a href='https://pyquantnews.com/subscribe-to-the-pyquant-newsletter/'>PyQuant Newsletter</a>, social media, and has taught over 1,000+ algorithmic trading with Python in his popular course **<a href='https://gettingstartedwithpythonforquantfinance.com/'>Getting Started With Python for Quant Finance</a>**. All code is for educational purposes only. Nothing provided here is financial advise. Use at your own risk."
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all",
   "main_language": "python",
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